Studying Electrophoretic Separations Using Cholate Micelles: Effects Of Ph, Temperature, And Composition

Micelle-forming bile salts have previously been shown to be effective pseudo-stationary phases for separating the chiral isomers of binaphthyl compounds with micellar electrokinetic capillary chromatography (MEKC). Here, cholate micelles are systematically investigated via electrophoretic separations and NMR using R, S-1, 1¿- binaphthyl- 2, 2¿-diylhydrogenphosphate (BNDHP) as a model chiral analyte. The pH, temperature, and concentration of BNDHP were systematically varied while monitoring the chiral resolution obtained with MEKC and the chemical shift of various protons in NMR. NMR data for each proton on BNDHP is monitored as a function of cholate concentration: as cholate monomers begin to aggregate and the analyte molecules begin to sample the micelle aggregate we observe changes in the cholate methyl and S-BNDHP proton chemical shifts. From such NMR data, the apparent CMC of cholate at pH 12 is found to be about 13-14 mM, but this value decreases at higher pH, suggesting that more extreme pHs may give rise to more effective separations. In general, CMCs increase with temperature indicating that one may be able to obtain better separations at lower temperatures. S-BNDHP concentrations ranging from 50 ¿M to 400 ¿M (pH 12.8) gave rise to apparent cholate CMC values from 10 mM to 8 mM, respectively, indicating that S-BNDHP, the chiral analyte molecule, may play an active role in stabilizing cholate aggregates. In all, these data show that NMR can be used to systematically investigate a complex multi-variable landscape of potential optimizations of chiral separations.

Mass Transport Perspective on an Accelerated Exclusion Process: Analysis of Augmented Current and Unit-Velocity Phases

In an accelerated exclusion process (AEP), each particle can "hop" to its adjacent site if empty as well as "kick" the frontmost particle when joining a cluster of size ℓ⩽ℓ_{max}. With various choices of the interaction range, ℓ_{max}, we find that the steady state of AEP can be found in a homogeneous phase with augmented currents (AC) or a segregated phase with holes moving at unit velocity (UV). Here we present a detailed study on the emergence of the novel phases, from two perspectives: the AEP and a mass transport process (MTP). In the latter picture, the system in the UV phase is composed of a condensate in coexistence with a fluid, while the transition from AC to UV can be regarded as condensation. Using Monte Carlo simulations, exact results for special cases, and analytic methods in a mean field approach (within the MTP), we focus on steady state currents and cluster sizes. Excellent agreement between data and theory is found, providing an insightful picture for understanding this model system.